I'm a teacher in a district that uses Common Core curriculum and our state tests will be based on that curriculum either this year or next year. You can't study for those types of standardized tests. The best you can do is support your child with what the classroom teacher is doing. I know our district has spent several years now being sure that our curriculum matches the standards in the Common Core. If that curriculum is taught well, the results of the tests should also be strong.
The results of tests should be used by teachers to look at individual student mastery of the standards. If a student has not mastered a standard, the teacher should use that information to teach that standard to the student again. As a teacher, I can tell you that most teachers don't put a lot of stock into one test result. We look at test scores in conjunction with what we see in the classroom on a daily basis. Standardized tests that are given just once or twice a year act more as one data source for identifying which students may need other interventions (remedial work, gifted services, etc.).
Like others have mentioned, you can look at the Common Core website to find out what is expected at your child's grade level and you may find examples of the types of questions students may be asked to help show mastery of a skill, but you won't find specific questions that will show up on tests.
I caution about using workbooks that you can buy that say they are Common Core based. Publishers just want to make a buck and they will slap any title on the cover of a book that they think will make it sell. As a teacher, I have yet to see a Common Core workbook that truly matches with the Common Core. I've even found a few "professional books" that truly do not match with the Common Core. Most schools who use Common Core actually frown on the use of worksheets and workbooks in the classroom because there is really no value in filling out blanks on a worksheet.
Ask your child's teacher how you can support you child at home.